3 bets are kind of new to me. 90% of my experience comes from a house game plus about 2.5k games of micro over the last week.

From what I understand, I'm making a 3-bet with strong hands (AA KK AKs, possibly QQ / AKo depending on the range I give them) in order to:

1. Get a better read on someone raising into me.
2. Take away implied odds from small pair (?)
3. Get better value with them (?)

Is #2 correct? Should I mostly be betting up to a 9th or 10th of the effective stack?

I'm not sure I understand #3. Is it simply meaning that when someone does call the pot will be bigger and otherwise I'm taking down more raised pots that could flop badly?